What is GCF of 123 and 277?

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GCF of 123 and 277 is 1

How to find GCF of two numbers

Steps to find GCF of 123 and 277

Find all the numbers that would divide 123 and 277 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 123 and 277, and read off the answer!

Example: Find gcf of 123 and 277

Factors for 123: 1, 3, 41, 123
Factors for 277: 1, 277

Hence, GCf of 123 and 277 is 1

What does GCF mean in mathematics?

Greatest Common Fcator (GCF) or also sometimes written as greates common divisor is the largest number that can evenly divide the given two numbers. GCF is represented as GCF (123, 277).

Properties of GCF

The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.
GCF of two consecutive numbers is always 1.
Given two numbers 123 and 277, such that GCF is 1 where 1 will always be less than 123 and 277.
Product of two numbers is always equal to the product of their GCF and LCM.

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of Factors

Every number is a factor of zero (0), since 123 x 0 = 0 and 277 x 0 = 0.
Every number other than 1 has at least two factors, namely the number itself and 1.
Every factor of a number is an exact divisor of that number, example 1, 3, 41, 123 are exact divisors of 123 and 1, 277 are exact divisors of 277.
Factors of 123 are 1, 3, 41, 123. Each factor divides 123 without leaving a remainder.
Simlarly, factors of 277 are 1, 277. Each factor divides 277 without leaving a remainder.

Steps to find Factors of 123 and 277

Step 1. Find all the numbers that would divide 123 and 277 without leaving any remainder. Starting with the number 1 upto 61 (half of 123) and 1 upto 138 (half of 277). The number 1 and the number itself are always factors of the given number.

123 ÷ 1 : Remainder = 0

277 ÷ 1 : Remainder = 0

123 ÷ 3 : Remainder = 0

277 ÷ 277 : Remainder = 0

123 ÷ 41 : Remainder = 0

123 ÷ 123 : Remainder = 0

Hence, Factors of 123 are 1, 3, 41, and 123

And, Factors of 277 are 1 and 277

Examples of GCF

What is the relation between LCM and GCF (Greatest Common Factor)?

GCF and LCM of two numbers can be related as GCF(123, 277) = ( 123 * 277 ) / LCM(123, 277) = 1.

What is the GCF of 123 and 277?

GCF of 123 and 277 is 1.

Ram has 123 cans of Pepsi and 277 cans of Coca Cola. He wants to create identical refreshment tables that will be organized in his house warming party. He also doesn't want to have any can left over. What is the greatest number of tables that Ram can arrange?

To find the greatest number of tables that Ram can stock we need to find the GCF of 123 and 277. Hence GCF of 123 and 277 is 1. So the number of tables that can be arranged is 1.

Rubel is creating individual servings of starters for her birthday party. He has 123 pizzas and 277 hamburgers. He wants each serving to be identical, with no left overs. Can you help Rubel in arranging the same in greatest possible way?

The greatest number of servings Rubel can create would be equal to the GCF of 123 and 277. Thus GCF of 123 and 277 is 1.

Ariel is making ready to eat meals to share with friends. She has 123 bottles of water and 277 cans of food, which she would like to distribute equally, with no left overs. What is the greatest number of boxes Ariel can make?

The greatest number of boxes Ariel can make would be equal to GCF of 123 and 277. So the GCF of 123 and 277 is 1.

Mary has 123 blue buttons and 277 white buttons. She wants to place them in identical groups without any buttons left, in the greatest way possible. Can you help Mary arranging them in groups?

Greatest possible way in which Mary can arrange them in groups would be GCF of 123 and 277. Hence, the GCF of 123 and 277 or the greatest arrangement is 1.

Kamal is making identical balloon arrangements for a party. He has 123 maroon balloons, and 277 orange balloons. He wants each arrangement tohave the same number of each color. What is the greatest number of arrangements that he can make if every balloon is used?

The greatest number of arrangements that he can make if every balloon is used would be equal to GCF of 123 and 277. So the GCF of 123 and 277 is 1.

Kunal is making baskets full of nuts and dried fruits. He has 123 bags of nuts and 277 bags of dried fruits. He wants each basket to be identical, containing the same combination of bags of nuts and bags of driesn fruits, with no left overs. What is the greatest number of baskets that Kunal can make?

the greatest number of baskets that Kunal can make would be equal to GCF of 123 and 277. So the GCF of 123 and 277 is 1.

To energize public transportation, Abir needs to give a few companions envelopes with transport tickets, and metro tickets in them. On the off chance that he has 123 bus tickets and 277 metro tickets to be parted similarly among the envelopes, and he need no tickets left. What is the greatest number of envelopes Abir can make?

To make the greatest number of envelopes Abir needs to find out the GCF of 123 and 277. Hence, GCF of 123 and 277 is 1.